← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 830 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  5. 5.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  6. 6.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  8. 8.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  9. 9.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  10. 10.Two trains, 130 m and 190 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  13. 13.Two trains, 130 m and 350 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.Two trains, 150 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  17. 17.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  18. 18.Two trains, 170 m and 310 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  22. 22.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  25. 25.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  29. 29.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  32. 32.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 15 km upstream and come back?
  35. 35.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  36. 36.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  37. 37.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  40. 40.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 450
  3. 33
  4. 16
  5. 33
  6. 17
  7. 40
  8. 420
  9. 400
  10. 8
  11. 11
  12. 25
  13. 12
  14. 520
  15. 11
  16. 300
  17. 300
  18. 12
  19. 1
  20. 425
  21. 26
  22. 2
  23. 10
  24. 32
  25. 4
  26. 8
  27. 12
  28. 23
  29. 17
  30. 190
  31. 750
  32. 15
  33. 17
  34. 4
  35. 70
  36. 180
  37. 3
  38. 15
  39. 24
  40. 25

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude